I have not had anything to do with the Altman 360Q, but from your description there is a loose conductor possibly at the terminal block or at the cable connection point of the globe base.
What you will most likely find is that the terminal screw  is loose & the conductor cable was not secured tightly during manufacture &/or has relaxed when current [amps] is applied.
This will cause arcing & over heating of the terminal. Over a period of time the copper wire will become brittle, along with the protective sheathing on the cable.
What your probably experiencing, is when the Profile [ellipsoidal] Lamp is cold it will work when it is switched on for a short period. Then when the lamp is hot, the conductor wire becomes loose in the terminal & breaks contact.
If you have a techie or sparky they should be able to rectify the problem fairly quickly, although depending how bad the wire or terminal has decade, they may have to relace the damaged conductor section or the terminal.

As these brands of lanterns are forgin to me.
That?s a good clue Tim!
The bi pole pin bubles here are captivated in the base & are possibly less prone to arcing.
Although as becomes more evident, with manufactures producings lamps under licence in China, this problem will become more pronounced.
Similar to those gawd awful ES []Edison screw] base bubles. Which use alluminium threads that weld into the base thread & have to smashed up to get out. Unlike BC [Baonet Cap] which are easier to remove & more positive a connection in a the spring loaded base.
However this brings up the need for maintence inspection & servicing of equipment in theatre, on a regular bases.
Unfortunetly we tend to set & forget lighting in the rig & unless there is a problem don?t bother checking it.
As most techues under stand & acknowledge that electrical equipment works on the transmittion princple of;-
 ?spectral Manifestation Of Known EMF {SMOKE}. Which is proved when smoke leaks from with in  the equipment, it will ultimatly stop working!
This princple is based on the ?Ocham?s Razor? ]a.k.a Occam?s] theory.
{The principle is often expressed in Latin as the
lex parsimoniae (law of succinctness):

    entia non sunt multiplicanda praeter necessitatem,

which translates to:-
 ?entities should not be multiplied beyond necessity?.

This is often paraphrased as;-
"All things being equal, the simplest solution tends to be the best one."
 Occam's razor states that the explanation of any phenomenon should make as few assumptions as possible, eliminating, or "shaving off," those that make no difference in the observable predictions of the explanatory hypothesis or theory. In short, when given two equally valid explanations for a phenomenon, one should embrace the less complicated formulation.
 Further as has been proved under the same principle. That Light globes don?t emit light but rather absorb or suck up darkness. Inversely storing & transforming it into smoke, to power the globes darkness absorption process.
 I'm sure this will help you further = in some way?

I know this problem really well! Actually deal with it much of the time! The connection between the lamps and the socket inside the fixture is where the short is happening. Pull out the lamp, and look at the pins. If they are not really clean, what you describe happens. Get a very fine file, and gently scrape off the crud on the pins. I also suggest looking at the socket they go into. If there is black residue on the contacts, that needs to be scraped off in a similar manner, or you will need to replace the sockets. Not terribly expensive (maybe $10-15 per light). As these instruments get older, this happens more and more. Replacing the sockets is the only way to make the problem go away for a long time.